考虑残余强度影响的岩石损伤本构模型

A DAMAGE CONSTITUTIVE MODEL OF ROCK WITH CONSIDERATION OF RESIDUAL STRENGTH

摘要: 基于岩石微元强度服从Weibull分布规律,引入损伤变量修正因子,建立了考虑残余强度影响的岩石损伤本构模型.运用多元函数求极值的方法,推导了含修正系数的模型参数\(m\)和\(F_0\)的理论表达式;对模型修正因子的选取进行了讨论分析. 结果表明：本文修正模型的实质是增加了一个含有修正系数的线性项;修正系数 \(\delta \)主要反映岩石的残余强度特征,选取合适的 \(\delta \) 值可以提高修正后本构模型的准确性.

Abstract: A rock damage constitutive model with consideration of residual strength is established,based on the strength of rock micro elements and the Weibull distribution law, and the damage variable correction factor is discussed.Using multivariate functions to obtain the extreme values,the theoretical expressions of model parameters \(m\) and \(F_0\) are derived with consideration of correction coefficients. The model consists of an addition of a linear term of correction coefficients; the correction factor \(\delta\) reflects the characteristics of the residual strength of the rock, to improve the accuracy of the modified constitutive model with an appropriate value of \(\delta\).